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  "name": "",
  "signature": "sha256:f2a1d82cb232e9a6d264033f5b631a76d23db3c777e69fbcb84201a9fa4c88a0"
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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "%matplotlib inline\n",
      "import matplotlib.pyplot as plt\n",
      "import numpy as np"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING: pylab import has clobbered these variables: ['interactive']\n",
        "`%matplotlib` prevents importing * from pylab and numpy\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "from IPython.html.widgets import interactive\n",
      "from IPython.display import Audio, display\n",
      "import numpy as np"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "def beat_freq(f1=220.0, f2=224.0):\n",
      "    max_time = 3\n",
      "    rate = 8000\n",
      "    times = np.linspace(0,max_time,rate*max_time)\n",
      "    signal = np.sin(2*np.pi*f1*times) + np.sin(2*np.pi*f2*times)\n",
      "    print(f1, f2, abs(f1-f2))\n",
      "    display(Audio(data=signal, rate=rate))\n",
      "    plot(signal[0:6000])\n",
      "    return signal"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "v = interactive(beat_freq, f1=(200.0,300.0), f2=(200.0,300.0))\n",
      "display(v)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(262.2, 203.6, 58.599999999999994)\n"
       ]
      },
      {
       "html": [
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\" type=\"audio/wav\" />\n",
        "                    Your browser does not support the audio element.\n",
        "                </audio>\n",
        "              "
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.lib.display.Audio object>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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l5PSl/ovw7VnP75E/SpczIJpnyslQScm0jAS0stwSUXpcOKVpmZPRIrqIt60Z\nAam9S/K9SaCXf1p4M2OZjEBtOqhmTkDzPCRQupoX1wH9ZqDndhXT7wla9JM+ubmE0uDmrmmD0KpM\na9NBJR4tAzjSj9zPiHqMubW9ufuaEbAac2skSld5Wce+JicHA/0fBelydVj60dsuObwRjNVRszgh\nHmfB44RUY5mMgDeUKhkB6TmOniZ0JQ9D8+Jy/o/HcOZ8qUM1D9NjBAwC028F+ltm97nVWC2WuiXU\nDEKPMc+9+bWKBDha0jXOgUiflG4mf/2dgP54ct3qQabvablwqtNz5hGl+98AvJThg9LyGkXOo9aW\niwOrjflY8sfd1+RPcyQ4WtayzXT3shsBxqNe9XzJslqUB3cEsXViONHgzhDPPyXhla5xHU95yo1A\nxGv4MwwnwXoGYQnagLcMQq6PJfoeD7LUj/n/nkE4lufLyd9bAHxSoKl5zXk/0nklj0dN93vkBsQq\nf54D3krv5IXFsbLKSX6thfHKaVqiiD0mErAIlhQJcJ4SLcs1tlXINC+OU2za8QtWr4UKFHd8dsRj\ntyiPwJyAOMEVUaZau9G+UJSpuDoj580jf5GNPJLyKKWDtM2dJecp8bk3ucfxVbqW6GvyV4LXmFsj\nUosToukCiZZliWgL49UxdPeYzWKLXCJq9CD7Y5g11doAjhgBibcc6RqXR/QObk7oclpWTykhHyya\nUaR8WL1+zovj0obWQUi9W6/8WY0Xd43Ww6WDrNiUleUM917kGidDJdC24uSPixgFmen/Huhvg9V8\na06IJIfROSmLbEqgZSLGKxqJbkgjEI0EJGGOpoM05ft2zNdUcwNO6/j03XoQFvfO2iBsIcyWQZg8\n6mOB/ucY3ix0rca89JzFeHk9SK/8lZwRcr+/D4D9Bfql1UHafg/OCeFW2exFnrE6Ufn3RCsSCeTt\n8fsAToLc3ta+0OrheOMcici40fSINJ9p0bke+avGMp0dxHW85hWXBp/nx1mMkQA7iZYLgEaXemJW\nxeyNBEoeNXfPIsyU78swHFp2G4WuZZmcle/aiK7kieW0NOMi1S3xnZCe+yzmv6HNKW1NYWnIDR9n\noCSPOoJEN7IwweuURSMBzI7hsPLmHTdcWS0S8Cw5LzgwKzb9VWO9RAJaKqBkBKLKwzoRqkUROY+S\nJ0ahCWx6J+qVc4qrBM7z5dpFG3wlJ8ITCVjzntF+lJSfJx2Ul7V6aZz8HUTKaktEOV45cMac60fa\nztLpp5wZ7uPZAAAgAElEQVQ80bbKI4GoMdfSH9o9S8Thkb+SrHHwRDDS+OQ2tSrt0d8Sw6a/0u8r\nmLFMRiA6J2ARhuy5/jjI4TjXARwtrv7SnICUk5Vg4YOrWzN6HH3rJiOOby09EY0EPMpUG4SS7JTS\nNtYoIpL+SKC8WfcJaDuoS+MmunmJq5+UWeGEeNo5/c+9S/qU5O9+s2PYNVj60Sp/HLSIkTo3Unt7\nV0ul88NuUeDNjGUyApoitgxCqXGpgH0GwDNIWcOqkiLfuTLlBlw0HcQNQk55RNMTJb4lxZLzk9fB\nDTBa9meB/mylHMe3J6LTvEBJ5i2KuJudwfMIrG4zCVy/SPIdSQflNLT2sDgh1kib0ueWR1uNec63\nR/4uBPBehre8Hovh09q7ZAAtkaj0qfFtcSaXwghsBnAOhvzmpQC0X666EcAls7/TCrx4jYA0SLR0\n0IECfY8ypYJbigSsOVlJsHJwg9AqzLQ9rHxzdLk5kvxTGoRPAPBq8ry1vTcp17wyJNHQPOpDAbwH\nZfmj9C2RQMkJ4erS5M+SWy9tsuSMPpX9vZnnPV601EfavQMA3LZQh8UR8DpP3H3OiHHvMvu/P3hY\nWCHS0ox5SgM1MwI1E8Onzz63ADgRwMsAPFx49loAJxfoWVbZcN6U1ROzphG8dPPnNbqSt1Oib40E\nSspOo0F5y9/Nmg7ijICk0KybjLjBWvIq06emEHNYyuafaczsTe6V0h+aEdBkiKPF8W015ntl1zS+\ntffi5M9rzC1KryR/mpLmPGqLLpD45hAZ75sA/C2AM4W6SvKX5K508J8ZNZHACRiOQTgVwPMAHK08\nuwPABwC8DcARBV4K4VC/Ceh/G7ww5dA2i2kKQhCcPhfWnG5eVup4bhBKbc8MiFUbnCjfnkgggTMg\n3GDUIoHSwJEGcGSTm1a/ZsytxtEa0aX+o7/tIMFizDmDzNHlFCCniL3GnNKU6qTXcvnT2lkzXiUj\nIPUF/V6S8fz5w4D+LxR+NJpg7nscidybB/iMBWdk0z2a1qtG7RLR52PIzZ0K4HLluaNmn48B8L8A\n/MbqR/7wMOBWAC7/JWDnFcA/AXwDHgbgNQDOJfcoPD98blnhk3uBOT2rJ1YzJ6DxJNVdGoSaAbF6\nYiVFQts33bOuL+faqAP6pwB4ncK3FoV0QH8ogNsJ9XNlWxgB7jnatlwUnINTet5IwBuJak6I1Xhx\ndDXPV0tjccaUfk/PSe3xaAD3B/BHDN+lcaMZNM4IcJHAzViNfFwq/fjYBwHHArj23sDtGTJ+1BiB\ntEzpRRiigi/Mrp8O4LGzP4pNAL7Hk/ur6zAMzA/PaKfn888O87XJJQ9P69ykhDwTUflAyulZPEir\nJ5bDUlZT5Dk0I1DKJUvtkV+jdaT/pbQHd+aRoPBXfe8A/COGCX5OEVK+uc+/A3AGoev14mhapQRO\neVkUudWYc4qYc2CskQDnmUpyEpG//PmIMs2vcdAMX2R/DeG7PwKrf24zN1Sag8LBKH9v+czs+5cA\nHAO8QCBnR40ReCOAUzBMDG/H/FevDgWQL926LYY00E0ArsOwS5CDRfFswnwQ7kPuSdCMgEcB5MqY\nK6ulVbhIwMO3VDYyJ8DxbYkEuMHCDUItrE3/RyIBqjy2F/jWjPktGbreaLCUW++xUhloqRYtpcM9\nn9OzGq8WTohmBDRlmiM65rxGQKIHxNKRtB+vBPA1pR7OMNB7HP2S/qPyV40aQjuwenIDGFYMnZP9\n/x0ADzbQ83pi1AhYOw+QJ1hLyoPrPG0AW4WZgxYS03YpeWI5NA+SG6DWdBD37pZIwGsE8olZixHg\nPktHXGgyQCMBqb01I2CZ4OfKae3dOh1kKZs7J9a0SkKuzKKRgBaFaRFM5U7n/tmz74cKNEo6zGoE\nNP23NHMCLWHxPDQjQCEJFjD3BDSh0xQioO805fiWPEgJ3CCkvFk9MW86yKo8uLosA1gLx0vKI9H6\nZQBXKzSkd3oyVjol3gEsRWXWyAvQJ4YFD7KXlEf+PNe3tG7vnFTufWpOiMD3qvq1SNTTFxTaZkVt\nTkrrP04WNwH4S1Knx3jRftRW62n6bykigdawhONHAXjI7LvXCHDpIK4eS2okpze2J5bXS4VZywdz\ntKxlLQY5p5HTtRgvLhzX0iYc3y8E8H2hbm0Qph9BobDInycSoHxrkYBF/vKoIqenRRGc4mkZCWgy\nVPKoW8+leXbeziKB/rEBvrW0nlWPaI6aJn+5Qd6QRkAbwKmB/ifm567QH8co0dWMgFUBcKuDrOmg\nMeYEck9MU6Y1g1BTHpoR0MrOBuwK79aqTPM+oIo44kF6+OYGYUkpWSIBryLP71v7seYAw5ITEpkY\n1tJBlvSsBZIeSeP/zQDOJ896jEA0rVwyJFrZDR0JWAZwzq81HM9oiKcKWurOrTtHozSAx5yY4xRA\nSZhzGpZIwJoOsswJWJVHDqp4gNUbtmqUhyYDuQLwzAnQsvQe1y5aX5SUh+TVto5EuX4U2kzcX+OV\nP6sx596Zls2jBi2joDlPOR2PHnkFVm6qrU1HVmO9GYE8jVDyaLgBEVll08IT0+qWYDEgnDKtiQS4\nQeMdhBaPJv3/l8w9CbSsxC+t28q3JRo8HsD/mH23nsvvNQJW+UtonVYBua8pU0tK0ZPG0t7ZOt7z\n+yX5A/SMAlcXt1OX0zVSVkA6VUGTAc6xamYESoKwlrB4cZwRKA3CvEGvIWW9qQDNo+E8MW0QesJx\nKQVhjQQ446Wt7NCELpJGkIT6DzDsEJT45ujmwi/N7Xhy4Fo/0nc+E8C9BLoG5bR705Xn+I+SE5LT\n0BRxy0iA1mP9fe28rBYNOox5/wJCN/+UykaMAJeOjEQCUh3WVFLzOYFlMgKWBszDOKsnlu7fCvMf\nQJE8A65uTqjy65pHnQ+aMSKBfBBac7KWslrdJSOQP2cZhLfIntfoa0aAaxfvINQ8sfS5PSvnnRjO\neZKMLqfI8/+9HnXeFy0iAUskyskQ16eaE6IZIMr3n5L/LSkwq/yNkQ6i8DiioxiBjZAO4gwEsLpT\n98nuRdIIdBByA04r28ITkwY5V3cOLUQu8T2GMOcDyXv8QutBCHJf4ztiBPIBnE6vlSa0ayMBrR+9\nTggXDWryR8cb154RvqW+kGCRgVyGhP1GxbPCpDrTp2TYKDhjLrXlaZgfxLkhIwFLTnYn87w1PZF3\nnraqROq8zYSGxYvjLPhaRQKSMHsHcMF49TcQvnMaJeUBzD0xa3vkwk93fkfSWJ45gdwJKe334Nry\neqau/H8umpSMAMhzY6WDrPLH1Zn+t6aDNPmjdCk046PJn0UXcHwD4zsh9PN+2fPN5gSWPRLwzAmU\n6GoriywK4FuErsejiaRVLF6cZU6AKg9LWYcR2H0EgyUS4PKqNCcrnW/PDWDLnIDVE7MMQi4dae3H\n/Px3LRK15Mfzei2y6zGKlG+r/EkprpJH/acYfo9E4lvSBRQWB4ZT5NI8GzUCIPcBeRmwJvsSLPKX\nH8HezAiUFOhaQmuE1ICcJ1byECxGIGLBPYo4F8jIJqOSR+3JyWrhp8a3VZl60giJ97y81WMHbDu/\nuTo5WGTA44TQNr1Vdo8qBosjQZWSZU5Ay49blZJlbicyMZyPx5OUsl75s/SjVReU+NaMgDUdRPnQ\nZCA3AnvsnIA2MVyi23qTkSY0nFKNpoMsHk1JkWtzGffFPMqxeJBWvnPloXliQrhf/A0FoG04Hk0H\nWdtDm5OyKIBHY+XZwZwBsaRVvHxb5K+0woczOFz9Wj/SNktnMyVokZHU3ol3qe4cljmBvH1ayB/l\ne8MbAUsjLDIdJNG1eHFbADwxyLeWk7V6YhzdVPaRsz+uDKfIPZ6YlkNOoBu+SnxzcwIe5WHhmzOk\ngO6ElNJYFu9TU+SvE/jWDEiulCRlJ8FiQNL1PwZwlUBfmtDWlKnFmFMjoPEttQtQNycgHWuvyZAE\nyzuPkg5aJiNgaYS8Ib3KVPM+a4yAxYtLBoCrW0JOw5OTLYWhnFKi97iUTo0ybeGJcWXHnhPQ3llI\nR4oRjMUJ0WRIAmdAuPaoiehKyvQXMT9RM6JMaZ0WRb4LK9+Bi4Qt8qfpglI6SDMCLdJBtK24hTHV\nKDG2ltCMANcBLSMBiwHS+E00pcmxHC0jgfT5MwI/qbzGt3ZPG4QSLAaEG4QR42XxxKxGwKKIrTKU\n07WkwCJGwDMxfADmqSSr/HHzQlo/cvyk6yVlmqD1o5YVkOqX2iMSCXicEKsjkcMiu6MYgWWKBCyd\np+X1JXgMiGcQRgewpJwl+vsAOFsom/5Pv7TF1S0p01pPrMS3dxCC3LPwrUU/XmVqKZv/NmzJCFC+\nrfInKVMKrk0lXrZivgpLoNs/VKBvSUem57i6JWWqjQ2L/JXSb1pZTv60yV2prGUlV2TcSHS5dHg1\nlskIWKwoN5BKq0ks1j/nQZpg1fhNn5aO907M3Q3Altl3bRAeRO6VlBJXv2YEWqQROINMZZAb7Hlo\nby3rNeaWstaUDkff4sDUOiGS8sjPu5Hqfr9AX1OmOQ1LdA3wkRGtU3MIreNdK2vtR84IaDoowjfH\nh9TOXDRZjdKAXkvUDsJITpZ71mq5PUv0ckie2LEML6Wy+TPeCVYOnGctvZO0QzsajlP+KJ+c8mhh\nBDx8WyIBKb1liQRqlN5mrObBYugtHvUWgW7eF3S/R85/SQEmUPnT5iNK8pG3pca3FomWIgGNN+uE\nMEffo/+qsUyRAKd4qPBY8qpSeBcdhCXk9Vsmg6R3u4z8z3ktmjKlO2/T59uF+jlQnrhUgAROcC1p\nBKsRSMjL7k3uRYwAhSYDlmWektH1poO8HuTDAPzAUJYaqVKkeziGH/DJy2r9yLW7te05p0ySPyni\n4uQv6oSUJrQt72xV1pz+0zIhG/LYiARNaLhGkJQ9HQiaAbHUXULrOYEEzvv0COQWQs/zftxASuAM\nBq1fSgd5jIDFEeB48M5l5PVLAzjvC4lviSfvnFQEp5M6tZSL9D/FQdl3jt8ELRKNvpMmf5I8ao5A\nglWGvJFA3u4177zHRgIJmtBonZfKUGFMsORkpbrpcjQOD8Fw3jzHUw5v5+WKRxsI0ntTeITzWADH\nzL5bjZZ3EFIZpIOZrge3DARuEHr4L3nHXN2liMliBB5Y5M4Hi/yV2oWLfjj60s7vbxToa8iNgLX/\ntHQQfQaQdaDFEdUMFMfvToYXCk52NQNUjRojsBnA3wK4x+z77wL4j4rnEqyeg9Sx0pkuNZ7YTiNP\ntyL/cx3l7TxN6XHCbF11VEKP4fx8L3KvSGvnBEkGNQVfeoaTIet7W704ib5FeUjPPsZQrwdjOyER\n+QNsTlWqm6b8SuAiUS2apMdAlHL5lneWZGgXyu3PyW6ivzdzrRo1RiCFnlsAnAjgZeB/Ncf6XELU\nCJRycJbQ+I1YuSsvga5JtqL1INRotY4EdiImH4n+kQDeJDxjUeSWASxB86ZKiKYvEl90Dobez5G/\nm7QDtgYt5E8Dt/PbAotTtQPAH7k5sqWhJMfKYgS4qNRqBHai3E4HAbizcG+UzE0N0RMAvBvAqQCe\nBuDoyucS9sP8x180SMrh08Lz2uaU0nM7mWs5SlvYLcIl0dMGrWWeg8KqaGqNwO2UZywpndcU6Gu4\nE+Zn93vKAcD9ATzd+CxH/xcDZYDhtwr2kR4MgnvnloYm7zuP4bQ4VVH5S+93FIB3CM9IfOcRiqSI\nOdB3vweAWzPPWd77KADnCPdaGvDdqLUszwdwIQYFf3ndc1vTl5OALScNgQOLHwDYH/LKkDsK5Wre\ntdR5Oxh+gDlP0n0JVq+w5F1y8BiBCCJRHIdHBOsHgOcy13K+bgL/W7HAsMrqwYE6awdotL011Ewy\nj0nfagQiSP2wn/JM4ns7Vo7LnK9tSvnvze7/KqGX8GShXG0f7z1Uu62STDucibnFOgHAO2ffTwfw\nFsNzOXqgt/49CegvYq7faCz/OUdd6e/7hfs/Fq7vmH1ud9ZnfX6Hk67n70fBcjcb+X4P0F8WrONj\nQH+G4bldwvXDKtrl9UD/fub6Tyvb+4cVZXca319qj+ifV67T3w3O9pD4vpK5ZpG/Huj/HOjPD/bh\np4H+UYF+SXrk/kB/k7GuQp+J+zzMqPEU3ohhInQbhnXE/2N2/VAAdzc8V4JkNXeC9yQs7/JBDHMS\nXpQsODePAOjnpGiwzkGM6enl7+yZE6E8cW23GcBHAXyRXLfWsyt7Vusb2i+7hOsJlgG1DcB3mOvW\nSODHwvXtwnULSvIn/S/B2g/R6MfiEe8Uvuc4mblG5U96l10M3Yj8aaD00//fhV1503reh5VOdjVq\nlMgODF7+FgwbVb4yu34OgHsbnuOQv7DXCFgEUipbQiojpQmkQThmuAzE87scfXotb39JQd2WuUbf\nWWobbiB5Bsau7LsEaRBqsiWV5erOYXVCnijcy9vJ693VGBAO1vpr5e+zmG9Eo8jbX5MhyivVAx75\nG9sI5I4L18Y7mGdpPR8H8END3WaMnTP0ghuEXEdFB6G14yXl8e+zT9qBO5hnaxBdjeSlf61SJ2cE\n6Htz70oVg6ZMW3hiHiNQih52MN/pO0vyF3VCuOjEK0NjyV91qqFAfweGiBCQx1x6juOHMwIUy2gE\nJL45+bPqvzCWzQhwwtyTz6g3L5VN/28nz3HP0I5JPGllEy7CMDluQf6uNZAGSOL/yxh+sSq/lqAJ\npEdJSDLGKfKadBDXZlQBSI4F9zyly9XtRV62z64BK42nJKMHkese+fPA0x9vxnyxh7Vd8raV+iTv\ni+3kmfyzpi9oH7cwAppBloxA+s6V5ZyzDW0EuAGsdby1MfJOlhRP3im0A9L/Ek8WT+xdGFalePmV\n7lmgCWGiRVMknLesDcISqIecvxuts2S0tH60DCSJb+6dpfaokb88DUDp5vNGkpyVnJMSTz8pcjrA\n44R8EfPlKvT5Un9yMsC9K40E8jKl8UDlT9MjJX7z/y1GQHonSz9qRqBphLbMRkAbwNZBSAcc50Gm\nz9wTk5RTjRHYwfAr8c8NhJvIvYRXYZ6mSpAGMTeILIqSpoM8SjDfK0HLWo0K95zEt5bS8RiBFk4I\nbe/ci6Of3I/l1CgPqijOB/AvQnkK7f04gyyNFy0VmD45I0vr1iJRjUfAJn+lCFGTgQTOCdFkKO8f\nixOSP7vHRAKah0AbrWTBLYMw9xikDqDCrXmfXP6cprasRuCfMT/CgQ60L2OYLOL4lowAp0w9kYC1\nfYB5u2qK3NuPmgGxePMWZeoxAhaPt8Q3J39S1ABy3yJ/H4BszH8OwPUMXU6J03fWokmLUvVEAiVl\n6pU/qxOiGRCQe1pf5O3UIh3UJCJYNiNgDeVrPEjJK8zbgtY9ixI6SYl7O8+rPLYrfOcDyZrbzOuv\nGYRcvpyWpfda9aNU1qrIAV3JWuTP6kHWRgJSu+byQcty7ybV/UPYZJgrq7WHNimbeJQcAasR4Ojm\n9W4i9ywGSILFCOxkrlmNl2VhAtePVVg2IxANx1soD46PkqXlBqGUv+QsePo/Tc6C3NeUB5fSKSkl\nSyTADULrnMAijIAWwWh5fWCeAvSWlfqRgmtvyZhrkeisTCfVmy8Z1NJkmiOhedQfAHCWUrYmHVQb\nCeRtb4lguH60jhuuLKVvdWRLEYzUpty4qcJ6NAI9c62FJ8bxYfUMtBAw50EahO/DSqHwDuCSEdif\n/G8xIBEjYBmEFkVOYZlPsKRGpDKWAWxZXFDim0tlWoyARDc990MApwk8WWS/pEyvAHCNwJsmQ56J\n4aj8ccqUa7caJ4SjIckSF5VxfZHDs6iBk6EqLJsR8KaDrOG4t+O9kYB1RYDENx2EngHcZ/VTvmf9\n2/1U4NuaDvqJ8EyNEdjJ1N1iTsAgQ53Et9eLsxoBC9/a6iBpU1ZOIy3T1PpTM4Zc2ydamhOiyZCF\nb0s/0vaQPHKuH7k6pbolpeqZVLamFDlo8qfJUBWWzQjkDah5vpIVpogaAe8gvB5AUrSa9bcOQs36\nc581uU2LJ3azwjdH1xuOl/j2yIAWTVJocwIt0pEg962RqJQPluhqk7MtIgGr/AlOCP6E8J0/Z5G/\nmrQKsmfpp6TIKTzG3KLIc10g8W2JBDbkxHDeCFK+NqI8vOmgkvKg9G/GcAQx5ZPyUDMII+kgarwo\nDS21lmi9B/NUABU+jxGoWaLnWdVk2XVJoRkBTQFYI8a8rGR4zsPc2Jb6kfK9K+NX8ppLMsTJX05D\nWhRhkL/uRQrfJfkD5E2apQgmhyelKMHCd82cgGVRA9ePVVhmI5BQ44lFFY9XmWoDIQ+prUbAY7w0\nb0pSHvlzJb6fi9U52TRRKRkBazhujWA8BlXzpii0OQFLX3nlT+P7YwD+UODbYsxrIgGqTKnhK8mu\nV/5y/hcZCVjlz2JAOBpWvi3vvMekg/JBSCMBryIH8xxnRdO967JyVuWRf0rCrFnwfBCWjEAkEqD9\nG1kdxOWDJXDCTO9F+jGak62JBCzyZx2Mlih2F1bP7Vj5zssSQ73CwHFRDeWLK6uNGy2alPSLNx30\nA4G+xHd0TqAkf5Z+NGw6XeU8pf9vLPCbaG5oI2AdhFJoSuHp+D8F8JLZd2lASfS5yVlL5+VCYZ0T\n4OgLwiYif07jF+C9wBwa38D8h8Y55SS0h1iHpR9zGqV20eYEWhgBTySgKUQJFidEiwS4vsivW6II\nzQmRoKXW6P8PBHClUvdazgloY44zfDSC5mjm37ljZbR+5N7TjWU2AgmePHapbN7x9N4NAL5G+IgI\nhTYINSHVwkMtJ+tJB9XybTUCqeyfY/5TjZZB2MII5DJdMuYduX6Tcs/iBZ4E4KoC31o0aI0EuPot\nTogmQ5wR4Mp6jIB2eCAtS/soXb+e4ZuLQrj7Up3ps8YIWORPSKOK3zn553i0OnsmLLMRaDExTOlq\nHnU+CL1pBE4Ra16g1tlc2dY5Wc0T09JBnLByRiC133VYfeaRxZuisEzOcoPQGiGl6/lS2kg68qvQ\nj18oedRU/kqDPO+PSCRq9aijkYCkX7QIxpKOTBG0xPdY6SCvEaCr6kpGYBeA42bfJfnb8OkgLRxq\n3XlaWsW6tDCnIQ1Cq0fNXaudE5D41owXpb8Dq4W4ZAS0AdzaE6PKI990dRO5R6FFAtpxAxaFmMNS\nVlPkpQiGkwFOkWtRCOeE5HxoZSXZkSJRLYVokaGSMs374H1KPVb5S7AYxXy/h/Q7HBRZu3TpMMg9\n1gjkP70X8cR+FsAXMhreXLLVE9OUqSTMWk5W+m7x4jyDEMxzFr65MFzjOz23XaFrMeafMvCteZ/S\nyasJtH3y5yJGIO+LHBblUTsnUDp+Wosme/CybpE/bTxafnmslI7knJAcGt9nYf7LZZa8fot0ZN5n\n1nSQds0if1VYD0bA0wE3YmUo6PWGtpPnS8Jh8eK0gVQSOmskILVHzZxAbhCtcwIJWipJqzun9S2g\nO14pa3lnLRzPn83pbyb3PMYrvyfxzRn49L91ToDyrRkQizEvRQJaWU2GSkbAwje3qqnkhKR25A5e\njKSVPRmFK7Jy3onh/Jokfxs+EuB+K5UTEtowPXOPXqf3OYWclIY3EtiF1QZEy21y3mKNJ+b1IPN3\nloSZ88RKfHORQDQdlNfFpScsA7hkBCj9PjtSQooEeuZafo/j29KPnCNhTSNoMmBwQlatTtP49hrz\nHJxTIrWHJkNcOim/7pU/q1Ll9Az9/GcAR8y+W1cZck6WZXXkhjQCmiXUOi+3pKWQSlOmUiQgQRvA\njkEofrdGMN45gfw5TzrIy7d1gxw3CK25de2daTrIYAR2w/NjOJwyzq9rDoxFhiTkxit9l1Y1efox\nobX8cXV50kFej9oqfxLf58w+uYhRo5v2NdxMyln5pnXln0sTCTwKwIcw/Ej0swrPngfgMwAuAfCK\nwrO7gE5LA6XrUuflnQPMO08LpXLvhUYCJWVqCcfzeryD0OJBal6gBMsA5iKY0iBMaBEJcB6eZRDm\nv7L2Y3JPgjYINRnTZJPym2hp/WidGJboA74JxVKkYRk3nPyV6OaQ2sMqf6X2jkYC3wW6p2MlNPnL\nZSg5kzVLRDVjvnAjsD+AlwJ4BIATATwFwOHK8z0GQ3EygN8t0E4v/CnMfwrP03mlQVjyxFKnlcI4\nhq541ru180qRgGb4vJEAV1Zq05InxrU3N5+g8W0dJJZ+fNvgSHQdU84TCUhGUas7f6ccuXK0eNQl\nJ0Sa68lRY8w9kWjECcnrkQyI5kiU+M5pRJyQywBckNHlDKumgyQjYOUbmM9NWdLhVSgZgVcC+CT5\nOx5DIx0C4E0YJmPvq9D4LwxG4xIAjyvUN2uE7ngA75xd83Refi+jZ/bEpAO8JOXB3ZdyyZF0UK6I\nLcrD6uFxZT2RgDUdxK0OsvQjhZZW0drU2h6cktGMo1a31o+aMfekg6hS4jxIrxPCjRuurMcgWyC1\nc9IFEecp51+TP6nuhwLdk5S6OBngIgE6JyVBMwIWPVKFvQr3n8ZcOw6D0v9rAM8G8Azog+w5s8+D\nAHwag4dPz7cHsBXA1+89+7IN/ABK/2uDMF8n7lUeUjqotNTSGsZpHk0OSwgY8cS4NBZtX8Jjtwvo\nvR61ZrwsfVGiyw1grm1pO0rgBqF0fHbJCdH4jqaDSnxrSt2qPErRhBTRcU5Iie98PEltmTuoXieE\nkz9NF1j5NzoC3S6gvxbzX3zj9Ig1ZUboP/OewFdOGXzxG25tpKEikg66AsPLPAHAtQC2YIgQgCE6\n+ACAezDldmGYqLuZuYdB95/7WchGwNIBuwDsmxHlaGjCbJ0YpoKVPxf1xKyD0GIErJ5vXobSzWXD\nOri1UN7iQaZn/gHA3zP0LYpYUwol5ZE+n5fV75E/qd2tTkh0dZA1ErC2B71WGnMt0kGa/EX53sSU\nrenH/H7BgHR3gL7KUHMc8++knr/5DHDBBYOa/Mv80MswSpEAhxsAPB+Dst+OYcB+a3ZvPwBHY/D6\nE+XDBBQAACAASURBVF4O4F4YXuL3oHtlWiNYFcD5GM72PyOjZfGotUiAglunnSCtKvEMQk8koKV0\nKLhIQCpb44lpqSTNm0+fzwQ6br+HdwCXjK6QW+9eDPQnEXoWRb4LvLenyUBOt2J10G5EJ4ZLRkBy\nnrTxWIJX/jRHiXvuG5jrOK8ekfhNz1vkj7aZ1fvPn7X0YxUiRgAY5gLexFz/JoDbkWul1UM5uAFs\nUQBp8PYY5h8wS2F4lEc+CG8k9yyeQUISXirc3ASrNay1RgKccGgeb84f5YlLq1mVEseHZRBK9XCD\nqTYS4OjXOiElvkuKx2rMpRV03L3IxDCFNRKIKCcpUuRSRtZx089XGfb3UfjW3knj1eqEWMdNqS76\nWUN3FaJGYCxwyotTFFYLa0lBcJ3XYhByFtw7CL1zAiUjwF2zeGKaEi2F41ru3uqJUUXh9cQ0JV+6\n71EeXHThKdsiEuDqTDStypSrR1LWHuPFoOtJ1Zz80fHOPc/xxl3z6gKAj/wt8kevWdv7qRhk4VyG\nR25xQRWWebOYZxCWoCnT3JDQVI7UUVo6SBIOrvOsaRUtjVAahFob9dkmI0q/xcTcNyErD8545REd\nB28UEeVb4leqO7/3BsyjZK7PNGOejEDNqhLLnEBJ/ihKXrMm1xp9zXhZI9EaYy45T5ITkv9viSK8\nTl+S/1dj2FvF0W2eDlpmIyB1DCeQkUiA+/x2gZ4EjW/NAJUGYT7BqikeqxGwHOilRQJWZToLx7uv\nFfi2KA+Ot5JHLfEtwaI8jJO73WuB7vEC/V3Zd84AJiPwU1KuBK6PNfmzKuT8nkWZRuYEKFLZq5lr\nDvkTy0YiAQ4W+bM6IRxaOsEqltkItGyE/HllEHbfEzYZWX4rlasrr6eUDtLoapPKHiMg1QOsVh7W\nSICjZ1GmJaOYQzs6mZaNDEKvBykZL6mtNQcm5y3RKx2BrfGdwMlhVCnlRoCTNcucgNWgpec+qpwe\nUOJb61urQ5jDc+ZRKcK0gvKtjZsqrAcjoHVeKSdmaUCt89InFYLadJBWjuO7dAwwHZgSXQssRkBC\nrTItgVOm0YnhFh5kxDhqdOlGQ6t856Ar26zKQ1PSnMLM36liTmBV/V5jzo2bWmNuMb6WVJI1gpHq\nyMvu0UaAG+zWRvBYf67zIp4YLWuNBErv7gnHI0aAvst/QFYoXLn8OxeJcPxblQZ37n+tJ9YiEiB0\nV81lWA4ey/vsOgD/WeC7BEk5eXZ+c56vR/68MpfXaVGmEg2tDks/Wo25RI8+Q3WARIvLNLR0nlQs\nmxHglIel80qdxnnjlglFKRKQnvsYgH8V+PbM6nPL/KR35gZhjnxznhbBgFz7MNDtzdSloZUnJkEr\n6/XEOHidkBLfzjRC92OguxtTdwnaO7eIBEoRjGQEzsMwUa7Rpagx5hwkOdFkSGr3fPxIkUskEuWu\nSeOmeSSwbEtELY2QC6Q1XPZa/5IREHKV3QlAv4XQ1VI6eZ2aQS6tDtKUUmlwc3VJNGqEWRuEXiXd\nIhIoweNBWjzHEt1WfEvOTc3qoHyejKMv9cVTgU44IWAVPMqUKydds0Qwpf5kjPnupa3Su5f4LkEy\n5lx7V2HZIoFoOG6NBFoZAek5rs5EYhdzLy+3N2RofJcigZyutjooGo7n4N49yneJvsWLG8MT4+q2\nouRRQ7jmiWAEul1p3HgjAW6JMj0mwUo/h9cJKcET0ZXoa+PHO26sfaoZ8z0uEtA6rwQulLIoj5Iw\neL0WTSi0vrAaAToIXw3gRwpdqa6cRv69pDws7RFRplx7WzxqL/0cLZwQjmYL45X4pXy/C8B7AfxS\nVlY7xsKjiCwetXepJXe/xgnhoI0bi0MI+Ma7NRLwRL355x6VDvJ0XikSyIVTS6vQclaPwNvx3L1z\nAdwVw5lHXPpJU3r0x3Nmz3ZPZeopwauUwDznNeYBYRZ3mtYYL45eS76tiqckQ4JH2p0K9Ol3mTVl\nyr1vvjmL0r+KKWsxApwMlaC1R2lccnV5nBBrv3plrCR/FiekxglWscxGoIUHyTWkZlxAvrdIB2nH\n5mbluj+eXeIEfC+mbM53GsDWQUJ5zb/XeGJc/ZKy4/rRGnlpdXo8ag0S3Qjf3IQi5clqBDQeubJW\nupwu6AFsnh2NnM4E0yIB7Z04cIrQ61GXEInopEiA0szhbW+OnkX/bfglolzHa4PQGwlo6SDN82gw\nJ8Des0Yam5myOf90fbmVbo6W6+21AaxtMrLy7R2EmvGQ4FEeJXBGMZqO9PJtMciA6BB2tAy3HDnd\nI7+pKx7/UZtbr4kENCfESp+ryxvBePtxj9wnoHnsXk8spymFtVoHeXYMa0bAK8wJVzBlcxrRSMDK\nm9ezax3RSfWU6m6pPCLyx/EmKdWIB6nVpRkXrs5XA3jN7Lt3jiTR035Y3Yoaj5o+n5fhFL4gH+J+\nD46+1t6asl5LJ0TFMhsBzYOMDhJuEHo9McAmFByPgc7rOqC7nKGXf34BwIeYulcRI/9bFabFQOTf\nvca81B6W9vYq00UMwqj85fl6iS79nuhdnt1T+rF7JdCdRehqxzlzfNdsFotGoqXzsCyRaMSYS9fG\nkr89MhKQOp4bSFbPwxoC0g4t7RPIYYkwIjlwJY3QfQfoThLqtELbOj+GZxrxqDVoytQS7ZXo5Z8a\n3RJNqT24vk7XpLk7zWNPn5czZ/B4l+Tm37n2sJy+W2qjFpv+1mqVF0e/9dJWSf48m05NWE9GoMXs\nuHVimAqzp520jq8ROovy8Apx1BOTaETTCN724J6ztLcHHuNVopH/rxjzVeW4di/191jypzlP1AiU\noPWfRf4sp+FKdFs4IdZ0kDcSsBrdGqdsFZZtdVAOiydWSn9Q9JAbV4sEasLxSwEcSO5FPDGP8YrA\n4plalYcWwbQw5lYjUBMJWJyQiGcq9Z/G93YAt1Dq8r5zJPLSlNIVAP5c4Md6zdIe3rQNVzYSCUQX\nJtQ4bJL85cfKNzECyxYJ5Gjp+ea0NI8GwjW6m1fzRCjf/wl0DyXXWkYCmgdJIfH9VgwbjSTeNMVS\nkiFPOC7B8zsIYxuB3Jv3DsLSfg9ad/p8MYC/MtbhiQSstLiy2Wf3U6D7U5TlT6MfnROw1sG1ewsn\nRHNIazx2zhEA+ONnqrDMkYDQ8V2P+Vp6r+fLKR5uMovSl9rJG47XeGIWD9Lrqac2PQPo76fQ0IRZ\nO+6CK9sqoivR5+5FPEhaNjIxl73f7k1uFr5T/7zYWI+VbmtlKj3jQTQS9U4Mt3ZCxm7vVDb/6dEN\nHQnUeC1W+p5wvGQEpDokujVCJ9FtNQgtfHN0pU1GUtm8Day5ZMvpp17lUYLkhHiUB6XljVJaGMVW\n7REZNxI4+fYsTPAYc8np24nVKcrW7a05T5oDyZWd8djVRKIsokbgwQAuAnCx4dlHYVi++FEAz3LU\n4WlA60RRNBx/IoDfUuqzDrTI4JPotvbEPEopf3/ubBqLp+4xAhKvOVoMQo6e1o81yiPBEomWaHD3\nLXxL0JwQ6YgIC28SzacBeAWhZ+1Hax2cMYg6ZVGjy40VCVqEEU1jsYgagXsBeCHKynd/AC8F8AgA\nJwJ4CoDDjXXQRvCsCJCwGfIPq2vh+PlA93pjHVFl6qW7CA+So3smgCcZ6qBKYyf8kQAHiwfZQply\ng9CjlD4N4MPM9dbOgsczbREJWI2Acq97FYBvKby1aA9O/qLGnIOlvblf6yvRq8komFBKc7wSwP3J\ntbMAnAPgLgb6RwO4DMAhAF4L4EYA9wXwdUNZizAnSEqCXs/ftyYct+QIORotIgHNEyvRt2zXd7ZH\n98+zW+cZ6ebv0eLMI22pJX0XKYLR6tD60bFjvaPjyOGEsOWkaxa+W3rUaxmJtkgH5X2XnkuTrqV+\n9ES63POlVYY5KN2vAHifUlcYJSPwNOWepaN7DEr/rwE8G8Az5HJbAXzpF2dftgG4cnbD63GU+KHf\nLcqDIrqN3DpItM1iLQehdaB5IxiNbm7ELJuMSvQ9xiv3xKITitK1KCxOjgeaEaBecY0ybRF5eeWP\na+/o6rQ8lTL2nABnBLyR6PVAdwqALcC9nwD8KoCv3Y8t6UTNxDA3iA4B8AEA95j9f8XsuScAuBbA\nFgCf5MltBfDGD2NuBGgD1g6452I4a52iRVolh8VrKSlTz6ar1hHM2OmJ/PMm8kzE6GpeuTYItTbO\nv9d4ppb2ap3W86QRPP1JDchayQl3L6f/KADHBeh60pESzRJv9FrNfqP0/zbgc68e1OR5n7AwW0J0\nieg/AngAgCMAfALA4zB47vthSAEdNHvuBgDPx2AYtgP4B8xzfxy8gzDB4NV1LxHqsihrDzx8ezBG\nJJCjZSSQQwvHtwE4HoNbE4Xn+I9c3r2RwAcAfFCgG0E0YvR6kJoy9UDrR0q/tUetGK/ua9klrn5a\nRotErdD41vpxR3bPK3+a41OFqBE4W7j+TQC3I9feNPvzQlN2Vng8MQ/96GqBGlgiAW8bRY1uDd1M\ngLsewKeA/jEFetqASQPLktYrRQI5KL0bge5CQq+FMaiJBDQj0TgSEPc31BiBHJ7Iy0qLK5vzbZ2T\niq4GpHR/DcDPCDQpPP1YhfW0WewHyrM1K4darAyI/oRfxKPmVjnQulsPwjHC/FYe5FpFAjWRokVZ\nr2VEVyPzFr4j8BgBTz30nXP5+06AHmAf76Qfu2sAXMPQ4LBmRmDZNovloI3wXsyXl1pn2T3HDdRE\nAjlaeImW0yEjIWE0gql5F8uEYgnaz3l+SaDP1fU5tBmE1j62yJ9lLsODFspDOyWX0rIa89I1jxNS\nszAhrQTaCXRXYtjxXtOP0R8HWpaFCesqEuiB7huz75TvSCRQ82tCtekgK7/aAG4qCNAVG71Ws79h\nVrbT6JdoJWwGcGdCX1Mep2PuQHAOUCvv0wLLII9EHy360XJUuneTWwlr5YTM0odJ/rod8B9D8/3s\n+08JfWsEXVqYYEn7bngjoDVCiwjGkkaQoDW+JszS7xKUaHF0I+F4dHWQF15lalVKCbP+73ZlA9jg\niXXbMfcEvUsLNfmrSUd6lV5LjzoCR3uz5SR4cus1R7tzY9caCfQAjgRwdXZPMwK0bo6mBEs/7nG/\nJ5Dfo+mgFpGAx6pqAk0FqpGn3knCzAlCJNKwDBYv/ZwO3eRWQzeYk10Bq0dtkb8SuLo8Si9SV+u5\nBgotHWRF1HiVnFeNLid/Dr67K4foAQDwRsxP3/Wm9UpHSFjaY4+bE9A86gi0QViqx2IEIhGGBzWC\n4BU6ipqdjzukB43YjuEIBom+dRC+ACvPwKfwRKKtnZCx0ir0mQjfLY2M1QhQuh75szhNwfbufgPD\nTl6unpxe60gA5F4V1ms66CIA52f/R3KbNXMCtPG96Y8Ez2YxSt/7e64ltDQCXk/MgW4foS6nMU/H\nM/d/IlTUMhLgYIkEOCzbXEbNxLBGt5URoHSvwzyFI9H3wJK79ziYlCfNCWnSt+s0Eui+AXRPQF0j\n1EywavVaIowaWAahhNrVQQnWfDpHL2K0as9zj8BiBGo8akskwKGFB1kTSS8yEkioWZjwHaDbX3hG\n4js6l6bRLaWlPPJXhWUzAlojaCFVKW2jhVIRZR1NB7WApV1a0PV6o4DtuIux0xM1Sk8bwPm9G530\nvZGoJrc1E9oUEb4TvJEAV2+eGtTa2+tI5A6jRrcFok7IKQDu7qC7xxiBHJ7OiyiPq2afkXPRx04H\nWfiwGMfS9SjfkXA8tfNHATzcUR5Yu1VNHF1O/i4FcEz2f00k4E3r1Zx51BItIgHOCFiM4rsAXG6s\nw8JbjYEIRgLd1UD3pdXXd8MyJ7UhjQBn/VsoU4pNGDYOWelTWASqZhBa3ocq1wg4L84SjpfeSevH\nHUD3r2YOyxjbCDDKruuBLldCESMQnRPwHoEdWeVVm37TxkUOr/ylz+cBuLfCIwcvb1ZE5wRK0Nq5\naSSwzBPDLTxq4fqK3yleQ+Wx2+iWBrLHCFiVBwerJ0b5uom5J2Fso9giPVabLow4U2m/grddWqaD\nInwnetnO21WwGkXNCOT9SN6lK60w83r7NWM/ahQ1Whzd/N5V0I/RcWHZIoEcLdMqFvoe5RFNq7TY\n6Uz47DRlXbpu9cQoTgfwK8r9HBa66VoLz3QsY95S/n4NwNsJ/UWkg2rG/82kngiikUANWqdntbTh\nSGmm7ttAd3CQ7ips9EigFf0cjwfwIwAXFOhyAkBz6ZFB2OLwr4Tco7J4vunIh48H6mw9kS3RbxVp\njBmJ/jPQH+Wg74HGt1feNKWXjl+wzklR5Xgehs1W9P7YcxkRJ8RCr8Z41S6oqMIyG4Ex5wRyek7l\n1L2pwI4nEogYgR3k04NdWGmIrJ5YxZLCVUcQr6Ux9w6SqEe9lpHoLugTgxrf1AmpcSRq93v8tkC3\nhRHg2jIqf71wndZlSGO5sGZGYE9JB3kHi5UuR7+FMrWcWhgZhPQdr2LutTACWl+19vDGijQ88tFa\n/jR6FwN4v0CjRDc5IZZTQiXQ32/I0WKMtjACXNlFZBRGSgeteqYKyxwJLDId5G1c61k2nxV4kMDd\nT8o/GgkkHIQhrUXrGssI1EQCYx/dzaFFJKrxRD1qa1rllNl17jdyc7rawoQapLp+4ixXM6G9aPmz\n1NXaeI0l16uwbJFA/qJLmg5iYUyrdB8CuujKH1pXZSTQ/RD8cc5j5ZK1ey0GznqaGC7RV+rqeiYP\nb03rtTjuItX1TQw/J8uBa4+ucH+R8pfQeqlvBUyb3KZ0UIaaQdjil8Wiq2yke1oZLQIovYMltOSE\nroUnNtYS0eh6+xI8/Viz1LKF8sjlj9LL6d4g8CBBc0IAdHTntIYWkUCL4y68esTaRpoz2UIOJyOA\n5R6E1pxsC1w7+/wUgF8Wnml9+ql38EUn5iIYOxwfYXUQS78mErWmIy8AcN/s/y9itWHI6WlGoCZl\nyqGF/Gl8L0L+0vexjNdCjcCDMZzkebHh2fMAfAbAJQBeYa/CdebHonN51pxsQmliTrjedRgG7qzO\n7j1Ceak9NEUzdk7Wcm+9KFOtnBWU/nbpQQPyNI/SHt0uoMvnpX4bwKEMPcvChGU0ApSW9Z6mrEuR\n5Vh6hNKv/B0EGVEjcC8AL4R9Z+uzAJwM4HcDda3VIKw5517zIDWlJIXTFiGOCMBaRQJjeWLeQej1\nxLiIjtLnsGgjsLdCV+G7uxnovBO86XlvP7b8JbcSovLXYk6gxgnxRtBNjEBpddArAdyfXDsLwDkA\n7mKs478AvBTDGd6vAvAmB3+ALddW40GmDVARS5vu5+1IhVgTioeDn1yLGgGt3DYAXwdwZoHuWINw\nh3Kv5dHGNbnkaFqvhUGuUR75QWQtIyOKozE3VouIBCJLtuk1L9/eOYFWaWWJfnOUjMDTlHvWl33O\n7PMgDL8I9S9Y/aMOCZwiHnufQI0CSsh/6MTjiV0l31tBy3uPq+vkWbGIEWgxCLU0Qon+WqWx8tRJ\nPyNlkb/IAKVOSFR57IW48XKi+zLQ31mhq/XjopeIWu4tOq2syVHrCefdqNknwDXYIQDeAeD3AFxG\n7u3CcPDYzbTQgK0ALnvw7Mu22R9gs+A1nliLyfFvM3TH8MRy+g0H9wp6nDC3eActEighagSsB/Zp\n9WjGy+ql1eShC1gVwS6D/HHv9LHZ9QcW6I5lBCwRTGlpq1ZXi7SyJR20ZfYH4LQHVdS1G1Ej8I8A\nHgDgCACfAPA4AFdiSG0cjcHrT3g5hjmEnRiMg7C+fSsAXAJ0LyQ3NAvbkWc8aBUJ3AbA9QzdGs9g\nrDkBjb6mPK6FD60jAc9cRi5fNekgem2sSKBmLkCj28IItEyrnDwrU5oH4wxrCyNgcUIiEQxt51z+\nvA6mJn/pcxt2O8jveDbQPcxZxypEjcDZwvVvArgdufYsB12vJ0afobAoD03ADMLXfVeguwhPzDow\nLUYgf+btGAz7yyror1UkkHtiLZa2jm0ErgNwR+GZmvTEWLnkoBFIewrEYi0iUY23tVrVVCN/HDT5\na5INWLZ9Aq0HoWVi2HM2vgUtjMDYkYBGl2nvrh92GLtpcdfWWyRgiWAiyNqju6aCjkS3Rv48x3S0\nAuU3p389fPAagZqsgCZ/Xv3K1T+WM7kby2YEuA4a2wh8CcCRBj40Gty1RRqBsQ7UK0Hb/3CNcq/E\nrycSqDECGn2tPT6OlYfxeeiO5amPMDG8gt7YTkjeLu8Fv59BAtem0XRQqUyqKzmTnPxZwT2vnS01\nRQIGWM7X2QV0V5JrLZRGjQdpMQLavUWfpUR47DoAX+XvrYAkj9F0UEtPTOG7exbQ3UWhazG6rTB2\nOpLWw6GxR931QPdtWiBYf4RvS0omzXVE00FnAPizYN1VWOZTRBMsRuDfwP/cmkV5cHRrjGOipx25\n66XFXasRAMt65Jrz4qPpIKndr8cw16TR5Twx7+ogzRPbCB61l4Z2rzHfq353ouZnK7nn/nP2GTUC\n0uF71AgE00HdW5W6888cnhStiGUzAlyjGYSu+z3hRnR5XwsjoIVxVhravZpBOFYaK1q3lka6K4YV\nNF8v0JstPV6x3t6TDjoNwIeY6zWRqKUNuWdabIrSnBBr+s1rzFsYhhYREhm/XQf0dyD0OdTsU+GM\nQMuJYYaH7jUAzq2tYNmMALeHoEU6yCvMG90IcNCWunkRNObcve6rhWLpBrfU0jEIu38RbtQYRYsy\nbeyE7PaoW/4MKXcvktbz1F0jf9reCy/f12I4ZO8o5h6wcrzcVnBCajDW3M5uLJMROAnA/2WupzC/\ntSe2HiKBaDrIujtTo7uWRqB0oJ6GVIYLjT+PwbGoGYxjzUlZnJAWfC/CCSn9boElZ78IJ2Rv5tq9\nMPD7HaFMpke6/zLw4cXoq4OWyAh0XCh+BYCvzb6vpRGoWVVCw/GxLHhrT6xlOsjriVVs+tvt+f4Y\nq36wp/sggH2B/g1+uruh/Z5vCRYjoDkh69UILDoSiBqBfwJwi5WX0j6gYiQ6ljEfa05qN5ZtdRBB\ndxTmHt5aCnNN5y1DOqgmEqhJB6WyDdNBC0fNIFykEVjmSNRSd83+Bq8TMuO3ezPQPcpZp0b3/QBe\nLPDjpb/H7BPQ4B2EX8FwpEWJnhYJRNqHLlWs6TxtFY/mUdcYgcR3ZHVGosGlAyx8PwXAIwt1RBAd\nhKdj2AMAjBeJak5IzfhsYQS4c3DGmpNK0OSvhPSuX1Ce0eQvAiVd2F0HdM+rpJ9kYE9IB4mICt1R\ns1TB0xD2DKrSKt4fEOfgNQIt+E4TrBG+o8ojnaR5OYDLFfrRIz6Cg7B7G9CnTUoRpaflxi2RQI0R\niB75nJeJOiElBa4pNG6prxU9gFth/psH9F7+mWPszYQ19LVNlk2w3o2AMkhWzNJb1sXn+CiA76FN\nOqhmEGq/caC1R8lr4LyWlFtPSy2jq2HeCv03I2qEeTRvSEFUeTwVw+myb4df/moi0YSaSNSSl+fa\nIxm90kmamgykpZaRg/V2Ad2PCnXWGAGvUUyI9uP+QPfTGenJCGC8zuPW374LwK2B/hIj/bxsTzqt\nZhB6lUcahCUvShOoys1t3RmFOlv3owUl+tGzcpRy3auzYlHlMdacgDWi05wQLYKpkb+fALiF4IS0\n2Gm/CCMQjUTz313ZUyeGAbTpPK9H7aXP4Xuzzxql6v3NUesg1HAdgL8Llo3mwFsYgZp00NhLib3K\n9FUAHuOgz2GRTsgXmXscDQ67gC56qOPYRkCIoItosV9gMgLQlV4JXmH20qc4EMOx2hL9klBoaR2L\nUioNokI43v1BobwEizJtfRyFpe4Sony3kD9OsdwAdO9w0OdQs2NYU5gW+XsBgAMM9Dksoh+X2QkZ\nHevdCCw6jBPudzdAD8e1dv8pgM8pZS2D8EmQf8GphNZnHdF7Yw1Czbi0iAS4PPfYS/+i9E+Fvqqp\nNO7T/W8y97R+nEUC3U6g+7FC3yInHFqkg2rkL2q8WhiBaU4A/CAcO1wu0dcUT/SH1W+DYVLst4T7\nmjDP3qX7FoBvKXVYlB6HFsp0vQ3CFpGAtm9CqztokLt3AX3a9BQ5TuMHAO6D4bgEihbpseg7W3/l\nS8NYTsjYfI+G9WQEagahd916QqlzRsgld7Plbf0DMfzWgafut2D4ec8Sou/c4jiAscL9sSOYmkhg\nLPnTnJCZ8mfz69q4uRuAG4BO+iEXy6RxCdF3jux/ofdq9Mgi+PY8E8J6NwItBmGNYtHuc6daJhiE\nrpM2ummrmj4B4FfKtFVw3l9CiW/LuvixIoGx00E1fHPjzCJ/Xy7QVd652wmZP80J+U/5HgCd74/A\ntrRzLCdEk09tJ/wypyMTpolhLGYQfq1AVynb/XD1WTa7seizVSSB2sQcgkXuh+gCc36X0YOMzgm0\niES1up8PfYI1KgMjzWV024BuHwcNDtoZ+da5DA7phOIaPaJhrAg3gTthuQnWQySQdpPW7LzVcpua\nQD4VwLOU+9FBWGPVW6RVBBSXu2me2EMgn/kP6IOwBWoiOu29k2cbVR4PxfwHTbg6lbq7HdA3Xi1C\n/mrr1urfD7t/kJ5FKRL4nnJP2wlvbQ9LpOG9Z7kP6BF6FaIe6VMAXAzgswB+t/DsozD8WMdHoStU\nCZqwWQTxKADPY64blGl3o5IbtdYPAFvI/6UdlRq0sNaKqBKQ5GUL0F0CdFcoZVNummvvf0N5bblW\nP1DXHtogvBHYJtE3DN7uYqDTjOPYHiQH+i5bAmVH4Fs1AIDe/0cC+O/M9S0z2qlOjobVmdTq18aU\n1v+lsgCw95BZGAdRI/BvGDy/EwFsVZ7bH8BLATxi9uxTABzurOt7AP63n8WE7gphudpYB7xx2CLU\nHUELvqPhr+SJbTGUVTyx7kKgOzbG0m5I570DwIXgf6sigTtrZoauB05+gRCJ1hieFhFRVAao/G0J\nlG191HNlue5KIZW5hfzPyfAbAPxJoe53Ani9cl/LqrwEwCHK/YIR6Gr0RRGldNArAdyfXDsLXhJh\n2wAAA/xJREFU83XshwK4Sil/NIDLMDTAazGcC3JflC1jhm4ngLOFm+cB0NYja0jpiZ+qT+mICvN6\nNQIVA7/bpRyhYMHDMcgSR7vwPt1rMcgfh3tDTyNocMgxxe7jRRaxPLCmH3eOOEdZQq0y/BAAxlB0\nVwF4kV60e7Ry8zcA/IdSdieA7ws3P4Aho7IucSiGOPmeyjPHYciHvhXAnQH8JfjVKwuSqv6pQB9U\niP2lQC8ZJ4qtpOyjgV475lqrdzPQ98NnqHwP9C8Jlj0N6C9kbmw1lt8/Vu/CsZW/3G8G+oPiZPs+\n3ib9jUD/qmDZXx/q3o2tzvI1fH8c6P8wWPb2QP8YZ6GtsbrWDRZmke+KwQDQEP4QDJbtHrP/D8Dw\n62C3ALAPhpD8dgy9KzC8zPQ3/U1/09/0Z//T5uFGxecwhOaXzP5Onl2/A4adqg/Knn0chi3sHwLw\n5DXkccKECRMmTJgwYcKECRMmTJgwYcKECRMmTJiwPNgM4BwMk8yXQl9ptIzYF8AzAHwVwBNn1x6A\nYXL8QwD+v9k16T25Z5cJ+2FYG30xgI9hOFxsI73fRRje7SMYeN5I75bwdAx7NO6Ejfd+N2I+L3ka\nNt77PQDDHpd/wzCfutHeDwDw6xheABg2k713gbxEcCcM+yZehPnRz58BcMfZ9/cBOAHye3LPLhuO\nmH2eDeBvsPHeDxg2Cv0ONt67HYHB0G3DsER7o73fV8n/G+n9DsTgnNwmuzbK+y36ALkTALwbw49g\nPA+2Y5CXCVcDOBeDp9VhWCK7HcMGtnMxLJH9eax+z7sBOFh4dtmQBtphAL6LjfV+j8SwbPlMABdg\nY71bB+BvMUQCPTambO7A4O2+DcOm1o30fidhWFb/OgAfxJBpGOX9Fm0EgOGkxHtjeIlRt0ePjLRu\n9zAMKZSXAzg/u5+/Z9qxKT27bDgNw4+M/AM21vu9G8DxAJ6J4Xd974CN826/gyHVldaRd9hYfQcM\n54L9EoZjH16EjdV/B2JwUB4J4FcxbHrbSO+3G2diHsqcgOF8jvWIrZjPCVyOYUNchyGfd3/I78k9\nu2w4C8Mg23v2/0Z7P2DY1/ImDIfYbZR3excGL/kSANdjOMBxJzbO++X4NQzvsJH6734A3jP7fhCA\nz2Njvd9u7IXBWm3DkLc6cqHc+HEYgE8CuAbAlRhCt5MxTKJeisFCA/J7cs8uE47HEJ1tw6BM3ouN\n8353wcDvRQDeDOD22DjvRnExhvmrjfR+t8WQJnkfBiflIGys9wOAvwbwYQy8n4yN934TJkyYMGHC\nhAkTJkyYMGHChAkTJkyYMGHChAkTJkyYMGHChAkTJkyYMGHChAkTJkyYMGHChAkTJkyYMKEV/n8k\nH13ckEpoRgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fd38c066fd0>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    }
   ],
   "metadata": {}
  }
 ]
}